How do you write a polynomial in standard form, then classify it by degree and number of terms #3x^2 – 6x^4 + 2 + 4x#?

1 Answer
Sep 4, 2016

See explanation.

Explanation:

To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.

In this example it would give:

#-6x^4+3x^2+4x+2#

This expression is a polynomial of fourth degree with 4 terms:

  1. #x^4# with a coefficient of #-6#

  2. #x^2# with a coefficient of #3#

  3. #x# with a coefficient of #4#

  4. The free term (without any variable) #2#